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Simplifying -10 + -7z = 3z + 10 Reorder the terms: -10 + -7z = 10 + 3z Solving -10 + -7z = 10 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -10 + -7z + -3z = 10 + 3z + -3z Combine like terms: -7z + -3z = -10z -10 + -10z = 10 + 3z + -3z Combine like terms: 3z + -3z = 0 -10 + -10z = 10 + 0 -10 + -10z = 10 Add '10' to each side of the equation. -10 + 10 + -10z = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -10z = 10 + 10 -10z = 10 + 10 Combine like terms: 10 + 10 = 20 -10z = 20 Divide each side by '-10'. z = -2 Simplifying z = -2
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